Ahot dog manufacturer wishes to minimize the cost in dollars of producing a low-cost niched product while meeting the dietary guidelines for protein and sodium. once the model has been run, the surplus variable in the sodium constraint has a value of 1300 milligrams. the best interpretation of this outcome is:

Benton company (bc), a calendar year entity, has one owner, who is in the 37% federal income tax bracket (any net capital gains or dividends would be taxed at a 20% rate). bc's gross income is $395,000, and its ordinary trade or business deductions are $245,000. ignore the standard deduction (or itemized deductions) and the deduction for qualified business income. if required, round computations to the nearest dollar. a. bc is operated as a proprietorship, and the owner withdraws $100,000 for personal use. bc's taxable income for the current year is $ , and the tax liability associated with the income from the sole proprietorship is $ . b. bc is operated as a c corporation, pays out $100,000 as salary, and pays no dividends to its shareholder. bc's taxable income for the current year is $ , and bc's tax liability is $ . the shareholder's tax liability is $ . c. bc is operated as a c corporation and pays out no salary or dividends to its shareholder. bc's taxable income for the current year is $ , and bc's tax liability is $ . d. bc is operated as a c corporation, pays out $100,000 as salary, and pays out the remainder of its earnings as dividends. bc's taxable income for the current year is $ , and bc's tax liability is $ .

Although appealing to more refined tastes, art as a collectible has not always performed so profitably. during 2003, an auction house sold a sculpture at auction for a price of $10,211,500. unfortunately for the previous owner, he had purchased it in 2000 at a price of $12,177,500. what was his annual rate of return on this sculpture? (a negative answer should be indicated by a minus sign. do not round intermediate calculations and enter your answer as

Mikkelson corporation's stock had a required return of 12.50% last year, when the risk-free rate was 3% and the market risk premium was 4.75%. then an increase in investor risk aversion caused the market risk premium to rise by 2%. the risk-free rate and the firm's beta remain unchanged. what is the company's new required rate of return? (hint: first calculate the beta, then find the required return.) do not round your intermediate calculations.